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Simplify $\cos\left(4x\right)\cos\left(6x\right)$ into $\frac{\cos\left(10x\right)+\cos\left(-2x\right)}{2}$ by applying trigonometric identities
Learn how to solve trigonometric integrals problems step by step online.
$\int\frac{\cos\left(10x\right)+\cos\left(-2x\right)}{2}dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(cos(4x)cos(6x))dx. Simplify \cos\left(4x\right)\cos\left(6x\right) into \frac{\cos\left(10x\right)+\cos\left(-2x\right)}{2} by applying trigonometric identities. Take the constant \frac{1}{2} out of the integral. Expand the integral \int\left(\cos\left(10x\right)+\cos\left(-2x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \frac{1}{2}\int\cos\left(10x\right)dx results in: \frac{1}{20}\sin\left(10x\right).
